How Government Subsidy Impacts on the Supply Chain Decision for LNG-Fuelled Ships

Table 1

Notations.

Parameter	Definition
	The lowest standard of green degree of the LNG-fuelled ship stipulated by the state
	Green degree of the LNG-fuelled ship
	Government subsidy for an LNG-fuelled ship
	Subsidy adjustment ratio of an LNG-fuelled ship based on green degree
	The potential demand size of the LNG-fuelled ship
	R&D ratio of an LNG-fuelled ship based on green degree
	Price of an LNG-fuelled ship charged by the shipbuilder
	Earnings of an LNG-fuelled ship charged by the owner
	Quantity of the LNG-fuelled ship demanded in the market
,	Profit functions for the shipbuilder and owner in the mode of decentralized decision when government subsidy is provided for the shipbuilder, respectively.
,	Profit functions for the shipbuilder and owner in the mode of decentralized decision when government subsidy is provided for the owner, respectively.
	Profit function for the LNG-fuelled ship supply chain in the mode of centralized decision
	Cost function for R&D of an LNG-fuelled ship
	Cost of manufacturing an LNG-fuelled ship
	Elasticity coefficient of the price of the LNG-fuelled ship
	Marginal effect of LNG-fuelled ship’s green degree on the quantity demand in the market,